kn agent for a real estate company wanted to predict the monthly rent for apartments based on the size of the apartment. The data for a sample of 25 apartments is available below. Perform a t test for the slope to determine if a significant linear relationship between the size and the rent exists.a. At the 0.05 level of significance, is there evidence of a linear relationship between the size of the apartment and the monthly rent?b. Construct a 95% confidence interval estimate of the population slope, beta1.

Size_(sq._ft) Rent_($)

840 1925

1450 2650

1075 2175

1222 2525

728 1975

1475 2700

1136 2675

736 1935

690 1850

956 2150

1110 2400

1295 2650

1985 3300

1359 2775

1185 2425

1215 2450

1235 2100

1249 2725

1140 2225

886 2175

1371 2600

1030 2675

745 2225

990 1800

1210 2775