Velocity Distance

170 0.03

290 0.03

-130 0.21

-70 0.26

-185 0.28

-220 0.28

200 0.45

290 0.5

270 0.5

200 0.63

300 0.8

-30 0.9

650 0.9

150 0.9

500 0.9

920 1

450 1.1

500 1.1

500 1.4

960 1.7

500 2

850 2

800 2

1090 2

Once you have loaded the dataset, run the command head(hubble) to see some of the data values. The first Velocity value is 170 and the first Distance value is 0.03 (b) Using R, fit a simple linear regression model with velocity (km/s) as the predictor variable and distance (Mpc) as the response variable. What is the estimated regression equation? (Use 3 decimal places in all your answers) Distance; = 0.399 + 0.119 x Velocity; (c) What velocity would this equation estimate for an object with the relative velocity of 1 km/s? 0.001 X (d) Now we will complete a six-step hypothesis test to establish if there is a linear relationship between relative velocity and distance from Earth at a = 0.05. Step 1: We will use hypotheses Ho: B1 = 0 and Ha: B1 # 0. Step 2: Our significance level is a = 0.05. Step 3: Our test statistic is: Ftest = 36.29 Step 4: Using the F-table which of the following is true regarding the p-value? 0.10