Question

In: Statistics and Probability

The table lists height (in) and weights (lb) of randomly selected 8 students. Height (in) 60...

The table lists height (in) and weights (lb) of randomly selected 8 students.
Height (in) 60 65 66 68 60 67 69 70

Weight (lb) 150 152 156 160 160 167 168 170

(a) Find the the value of coefficient of correlation r.
(b) Find the equation of the line of best best fit (trend line). What does variable y represents?
(c) Estimate weight of a student from the same group who is 64 inches tall.

Solutions

Expert Solution

Solution:

a) coefficient of correlation r= 0.701

calculation:

b) Here variable y represent Weight because weight is dependent on hight. So weight is dependent variable and height is independent variable.

The equation of line is:

Y=70.1104 + 1.3755X

c) for x=64 find y

Y= 70.1104 + 1.3755*64

Y= 158.14

calculation:


Related Solutions

The table below lists weights​ (carats) and prices​ (dollars) of randomly selected diamonds. Find the​ (a)...
The table below lists weights​ (carats) and prices​ (dollars) of randomly selected diamonds. Find the​ (a) explained​ variation, (b) unexplained​ variation, and​ (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear​ correlation, so it is reasonable to use the regression equation when making predictions. For the prediction​ interval, use a​ 95% confidence level with a diamond that weighs 0.8 carats. Weight 0.3 0.4 0.5 0.5 1.0 0.7 Price ​$517 ​$1163 ​$1350 ​$1410 ​$5672 ​$2278...
The table below lists weights​ (carats) and prices​ (dollars) of randomly selected diamonds. Find the​ (a)...
The table below lists weights​ (carats) and prices​ (dollars) of randomly selected diamonds. Find the​ (a) explained​ variation, (b) unexplained​ variation, and​ (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear​ correlation, so it is reasonable to use the regression equation when making predictions. For the prediction​ interval, use a​ 95% confidence level with a diamond that weighs 0.8 carats. Weight   Price 0.3   520 0.4   1171 0.5   1336 0.5   1425 1.0   5671 0.7   2278
Listed below are the body lengths (in inches) and weights (in lb) of randomly selected bears:...
Listed below are the body lengths (in inches) and weights (in lb) of randomly selected bears: Length 40         64         65         49         47 Weight 65        356       316        94         86 Find the value of the linear correlation coefficient. Letting y represent weights of bears and letting x represent their lengths, find the regression equation. Based on the given sample data, what is the best predicted weight of a bear with a length of 72.0 inch ?
Listed below are the body lengths (in inches) and weights (in lb) of randomly selected bears:...
Listed below are the body lengths (in inches) and weights (in lb) of randomly selected bears: Length 40         64         65         49         47 Weight 65        356       316        94         86 Find the value of the linear correlation coefficient. Letting y represent weights of bears and letting x represent their lengths, find the regression equation. Based on the given sample data, what is the best predicted weight of a bear with a length of 72.0 inch?
The following table gives the weights, to the nearest kilogram, of randomly-selected male university students. 69...
The following table gives the weights, to the nearest kilogram, of randomly-selected male university students. 69 82 75 66 72 63 74 78 73 79 70 74 68 74 76 72 84 63 69 78 81 60 77 83 73 86 71 68 76 70 68 80 73 67 71 75 78 73 64 73 a. Using class intervals of size 5kg, construct a frequency distribution of the above data. b. Using the grouped data, calculate the following quantities: iv....
The table below gives the birth weights of five randomly selected mothers and the birth weights...
The table below gives the birth weights of five randomly selected mothers and the birth weights of their babies. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the birth weight of a baby based on the mother's birth weight. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the...
The table below gives the birth weights of five randomly selected mothers and the birth weights...
The table below gives the birth weights of five randomly selected mothers and the birth weights of their babies. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the birth weight of a baby based on the mother's birth weight. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the...
The table below gives the birth weights of five randomly selected mothers and the birth weights...
The table below gives the birth weights of five randomly selected mothers and the birth weights of their babies. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the birth weight of a baby based on the mother's birth weight. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the...
The table below lists the weights of some colleage students in September and later in February...
The table below lists the weights of some colleage students in September and later in February of their freshman year. September weight 62 58 71 67 51 60 72 50 66 57 70 82 62 56 73 51 71 55 70 82 56 60 69 58 February weight 68 56 67 72 56 58 77 55 69 56 65 76 57 59 77 56 68 56 64 76 56 58 75 54 At the 0.05 significance level, test the claim...
he weights of randomly selected 5 female students and 5 male students are given by the...
he weights of randomly selected 5 female students and 5 male students are given by the following:weights for male students:160,165,152,158,178weights for female students:169,154,158,156,162. Let the weight distributions of male and female students follow N(μ1,σ1) and N(μ2,σ2)respectively. Find the correlation coefficient between the heights of male and female students.(5 points)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT