1. Thiscar data setDownload car data setlists the horsepower for various engine sizes (liters).

a) Create a scatter plot with horsepower as the dependent variable (y-axis) and engine size as the independent (x) variable. (be sure to label the axes!)

b) Find the correlation coefficient (r) between the two variables

c) Find the equation for the linear regression line

d) Create a plot of the linear regression line (you can combine the plot in part a) with part d))

e) Dr. first car was a black 1977 Chevrolet Monte Carlo with Landau top. It had a 5.0 liter engine with 4-barrel carburetor. Use the equation from part c) to calculate the predicted horsepower from the engine size.

f) Dr. '77 MC actually put out 170 hp. Use the predicted value from part e) to calculate the residual.

g) Perform a t test hypothesis test to determine whether or not Y and X are related. That is, is the correlation between HP and Engine Size statistically significant? Let = 0.05.

EngineSize (L)	Horsepower
1.8	140
3.2	200
2.8	172
2.8	172
3.5	208
2.2	110
3.8	170
5.7	180
3.8	170
4.9	200
4.6	295
2.2	110
2.2	110
3.4	160
2.2	110
3.8	170
4.3	165
5	170
5.7	300
3.3	153
3	141
3.3	147
1.5	92
2.2	93
2.5	100
3	142
2.5	100
3	300
1.5	92
3.5	214
1.3	63
1.8	127
2.3	96
2.3	105
2	115
3	145
3	140
4.6	190
1	55
1.6	90
2.3	160
1.5	102
2.2	140
1.5	81
1.8	124
1.5	92
2	128
4.5	278
3	185
3	225
3.8	160
4.6	210
1.6	82
1.8	103
2.5	164
3	155
1.3	255
2.3	130
3.2	217
1.6	100
3.8	140
1.5	92
3	202
1.6	110
2.4	150
3	151
3	160
2.3	155
2.2	110
3.8	170
3.8	170
1.8	92
1.6	74
2	110
3.4	160
3.4	200
3.8	170
2.1	140
1.9	85
1.2	73
1.8	90
2.2	130
1.3	70
1.5	82
2.2	135
2.2	130
2.4	138
1.8	81
2.5	109
2	134
2.8	178
2.3	114
2.4	168