Question

2) The following table gives the price (in dollars), weight (in pounds), amps, and maximum cutting depth (in inches) for a collection of 19 circular saws.

Price	Weight	Amps	Depth
150	11	15	2.4
110	12	15	2.2
130	11	15	2.4
150	11	15	2.3
140	12	15	2.4
100	11	15	2.4
150	13	15	2.5
90	9	10	2.5
140	11	15	2.4
110	12	15	2.4
70	12	14	2.4
30	10	10	2.5
80	12	13	2.4
50	11	13	2.4
80	13	14	2.4
30	10	12	2.5
50	11	12	2.5
45	11	12	2.5
40	10	12	2.4

a) Make a prediction about the impact of each independent variable on the dependent variable. b) Use graphical summaries to examine the relationship between each pair of variables. What do you see? Are there any unusual observations or outliers? Does the data support your predictions? c) Write the regression equation. d) Estimate the regression model. Interpret the estimated coefficients. e) Predict the price of a circular saw that weighs 10 pounds, uses 12 amps of current, and has a maximum cutting depth of 2.5 inches. f) Describe the fit of the model.

Answer 1

B) attached images

Dose’n show outlier..

C)

Price=−303.4455−10.808⋅weight+25.674⋅Amps+70.0296⋅depth

A) and D) :

price is dependent variable , weight ,Ampsm depth is independent variable

now we can see regression model our independent how to impacted on pricem

weight :
first weight is nigatively impacted on regression model(price),meanse your weight increases by 1 unit( 1pound) then price is decreases by 10.808 doller,

Amps:

Amps is possitively i=affected on price if your Amps increases by 1 unit then price is inceases by 25.674 doller,

depth:

depthis possitively i=affected on price if your depthincreases by 1 unit (1 inches) then price is inceases by 70.0296 doller,

E) weighs 10 pounds, amps 12 amps , depth of 2.5 inches. predict price?

using linear equation: Price=−303.4455−10.808⋅weight+25.674⋅Amps+70.0296⋅depth

Price=-303.4455−10.808*10 +25.674*12+70.0296*2.5

=-303.4455-108.08+307.764+175.074

=71.31

price is 17.31 $

f) Describe the fit of the model.

overall describe the model we can say that Amps and deptha possitively ffected on price, and weight is negatively affected of price.